Geometry

Question Analysis

The main focus is on using the area formula of a trapezoid to find the unknown height. Given the area and the lengths of the two bases, we need to rearrange the formula to solve for the height.

Key Concept Explanation

The area  of a trapezoid is calculated by the formula , where  and  are the lengths of the two bases and  is the height. To find the height , we can re - arrange the formula as  through algebraic manipulation.

Step - by - Step Solution

1. Identify the rearranged formula:

We use the formula .

2. Substitute the given values:

Given , , and .

First, find the sum of the bases: